{
  "id": "math/0611071",
  "version": "v1",
  "published": "2006-11-03T12:05:12.000Z",
  "updated": "2006-11-03T12:05:12.000Z",
  "title": "Well-posedness and long-time behavior for a class of doubly nonlinear equations",
  "authors": [
    "Giulio Schimperna",
    "Antonio Segatti",
    "Ulisse Stefanelli"
  ],
  "categories": [
    "math.AP",
    "math.DS"
  ],
  "abstract": "This paper addresses a doubly nonlinear parabolic inclusion of the form $A(u_t)+B(u)\\ni f$. Existence of a solution is proved under suitable monotonicity, coercivity, and structure assumptions on the operators $A$ and $B$, which in particular are both supposed to be subdifferentials of functionals on $L^2(\\Omega)$. Moreover, under additional hypotheses on $B$, uniqueness of the solution is proved. Finally, a characterization of $\\omega$-limit sets of solutions is given and we investigate the convergence of trajectories to limit points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-11-03T12:05:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K55",
      "35B40"
    ],
    "keywords": [
      "doubly nonlinear equations",
      "long-time behavior",
      "well-posedness",
      "doubly nonlinear parabolic inclusion",
      "limit points"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11071S"
    }
  }
}